Self-Dual Supersymmetric Yang-Mills Theory Generates Two-Dimensional Supersymmetric WZNW Models

TL;DR

This paper demonstrates that four-dimensional self-dual supersymmetric Yang-Mills theory, when dimensionally reduced, produces various two-dimensional supersymmetric gauged WZNW models, supporting its role in generating integrable models.

Contribution

It shows that self-dual supersymmetric Yang-Mills theory generates multiple two-dimensional supersymmetric models through dimensional reduction, providing evidence for its integrable model-generating capability.

Findings

Generates 2D supersymmetric WZNW models from 4D theory

Supports conjecture linking self-dual SYM to integrable models

Provides a framework for dimensional reduction to lower-dimensional theories

Abstract

We show that recently formulated four-dimensional self-dual supersymmetric Yang-Mills theory, which is consistent background for open $~N=2$~ superstring, generates two-dimensional $~N=(1,1),~\, N=(1,0) $~ and $~N=(2,0)$~ supersymmetric gauged Wess-Zumino-Novikov-Witten $~\s\-$models on coset manifolds $~G/H$, after appropriate dimensional reductions. This is supporting evidence for the conjecture that the self-dual supersymmetric Yang-Mills theory will generate lower-dimensional supersymmetric integrable models after dimensional reductions.